Pressure-driven flow of solid helium

Abstract

The recent torsional oscillator results of Kim and Chan suggest a supersolid phase transition in solid 4He. We have used a piezoelectrically driven diaphragm to study the flow of solid helium through an array of capillaries. Our measurements showed no indication of low temperature flow, placing stringent restrictions on supersolid flow in response to a pressure difference. The average flow speed at low temperatures was less than 1.2x10-14 m/s, corresponding to a supersolid velocity at least 7 orders of magnitude smaller than the critical velocities inferred from the torsional oscillator measurements.

4 pages, 3 figures

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Cited by in corpus (56)

• Low Temperature Shear Modulus Changes in Solid 4-He and Connection to Supersolidity
• Observation of Unusual Mass Transport in Solid hcp 4He
• The fate of vacancy-induced supersolidity in 4He
• What makes a crystal supersolid ?
• Defect-induced supersolidity with soft-core bosons
• Evidence for a Superglass State in Solid 4He
• Observation of non-classical rotational inertia in bulk solid 4He
• Supersolid phases in the one dimensional extended soft core Bosonic Hubbard model
• On the origin of the decrease in the torsional oscillator period of solid He4
• Local stress and superfluid properties of solid Helium-4
• Coexisting ordinary elasticity and superfluidity in a model of defect-free supersolid
• Intrinsic and dislocation induced elastic behavior of solid helium
• Supersolidity from defect-condensation in the extended boson Hubbard model
• Observation of Mass Transport through Solid 4He
• Solid 4He and the Supersolid Phase: from Theoretical Speculation to the Discovery of a New State of Matter? A Review of the Past and Present Status of Research
• Bose Einstein Condensation of incommensurate solid 4He
• Mass flux characteristics in solid 4He for T> 100 mK: Evidence for Bosonic Luttinger Liquid behavior
• Mass flux and solid growth in solid 4He: 60 mK - 700 mK
• Non-linear Elastic Response in Solid Helium: critical velocity or strain
• Bose-Einstein Condensate in Solid Helium
• Non Classical Rotational Inertia Fraction in a One Dimensional Model of Supersolid
• Viscoelastic Behavior of Solid ${}^4$He
• Interplay of Rotational, Relaxational, and Shear Dynamics in Solid 4He
• Absence of Pressure-Driven Supersolid Flow at Low Frequency
• Melting curve of ${}^4$He: no sign of the supersolid transition down to 10 mK
• Minimal Model for Disorder-induced Missing Moment of Inertia in Solid ${}^4$He
• Hydrodynamic theory of supersolids: Variational principle and effective Lagrangian
• Simultaneous Measurement of Torsional Oscillator and NMR of Very Dilute 3He in Solid 4He
• Mass flow through solid 4He induced by the fountain effect
• The glassy response of solid He-4 to torsional oscillations
• Dissipative superfluid mass flux through solid 4He
• Two-level systems and mass deficit in quantum solids
• Absence of low temperature anomaly on the melting curve of ${}^4$He
• Growth of solid hcp \^4He off the melting curve
• A glassy contribution to the heat capacity of hcp ${}^4$He solids
• A glass anomaly in the shear modulus of solid ${}^4$He
• Momentum deficit in quantum glasses
• Classical and relativistic dynamics of supersolids: variational principle
• Quantum Monte-Carlo study of a two-species boson Hubbard model
• Search for supersolidity in 4He in low-frequency sound experiments
• Finite size Berezinski-Kosterlitz-Thouless transition at grain boundaries in solid ${}^4$He and role of ${}^3$He impurities
• Possible role of 3He impurities in solid 4He
• NMR Investigation of the Low Temperature Dynamics of solid 4He doped with 3He impurities
• The Plastic Flow of Solid 4He through a Porous Membrane
• Dislocation-induced superfluidity in a model supersolid
• Shear modulus in viscoelastic solid ${}^4$He
• Tunnelling defect nanoclusters in hcp 4He crystals: alternative to supersolidity
• Roton-like mode in solid He-4
• Mott Insulator - Superfluid Transitions in a Two Band Model at Finite Temperature and Possible Application to Supersolid 4He
• Generation Efficiencies for Propagating Modes in a Supersolid
• Andreev-Lifshitz Hydrodynamics Applied to an Ordinary Solid under Pressure
• Andreev-Lifshitz Supersolid Hydrodynamics Including the Diffusive Mode
• Frustration-Induced Supersolid Phases of Extended Bose-Hubbard Model in the Hard-Core Limit
• Saga of Superfluid Solids
• Superfluidity of a perfect quantum crystal
• Quantized vortex state in hcp solid 4He